four a group of boys and girls 15 leave there are then..., Simplification, General Mathematics

Question:Four a group of boys and girls  $15$  girls leave.There are then left  $2$  boys for each girl.After this,  $45$  boys leave. There are then  $5$ girls for each boy.The number of girls in the begining was:

A  $40$  
B  $43$  
C  $29$  
D  $50$

/94

+ AnswerA

+ ExplanationLet at present there be x boys.

Then,the number of girls at present  $= 5x$ .

Before the boys have left:

Number of boys $= x + 45$  and number of girls $= 5x$ 

:. $x + 45$ 

 $= 2 (5x) ⇒ 9x$ 

 $= 45 ⇒ x = 5$ .

Hence,the number of girls in the beginig

 $= 5x + 15$ 

 $= 25 + 15$ 

 $= 40$

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Question:Four a group of boys and girls 1515 girls leave.There are then left 22 boys for each girl.After this, 4545 boys leave. There are then 55girls for each boy.The number of girls in the begining was:

A 4040

B 4343

C 2929

D 5050

A

Question:Four a group of boys and girls $15$ girls leave.There are then left $2$ boys for each girl.After this, $45$ boys leave. There are then $5$ girls for each boy.The number of girls in the begining was:

A $40$

B $43$

C $29$

D $50$